Puzzles & Brain Teasers : Bags of Dollars

Divide $1046 (in whole $ increments) into a number of bags so that I can ask for any amount between $1 and $1046, and you can give me the proper amount by giving me a certain number of these bags without opening them. What is the minimum number of bags you will require?

After clicking "Score and Show Answer(s)", click "Try another set" button at the bottom to get a new set of numbers for the puzzle.

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